You are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans: Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour

The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.

a) For which people is plan A best? For which people is plan B best?

b) When are the costs of the two plans the same and what is the cost?